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Finding the Fourth Proportional to 7,238.97, 9,990 and 4,254.26

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Solution

The fourth proportional to 7,238.97, 9,990 and 4,254.26 is: 5,871.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.97 : 9,990 = 4,254.26 : x
  2. Step 2: Convert to fraction form
    7,238.97/9,990 = 4,254.26/x
  3. Step 3: Cross multiply
    7,238.97x = 9,990 × 4,254.26
  4. Step 4: Simplify right side
    7,238.97x = 42,500,007.45
  5. Step 5: Solve for x
    x = 42,500,007.45/7,238.97
  6. Step 6: Final answer
    x = 5,871.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.